The Axiom of Choice and the Road Paved by Sierpiński

Hopos: The Journal of the International Society for the History of Philosophy of Science 10 (2):504-523 (2020)
  Copy   BIBTEX

Abstract

From 1908 to 1916, articles supporting the axiom of choice were scant. The situation changed in 1916, when Wacław Sierpiński published a series of articles reviving the debate. The posterity of the axiom of choice as we know it would be unimaginable without Sierpiński’s efforts.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,219

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Filozofia matematyki Wacława Sierpińskiego.Katarzyna Lewandowska - 2016 - Zagadnienia Filozoficzne W Nauce 60:53-81.
A theorem of Sierpiński on triads and the axiom of choice.Bolesław Sobociński - 1964 - Notre Dame Journal of Formal Logic 5 (1):51-58.
Disasters in topology without the axiom of choice.Kyriakos Keremedis - 2001 - Archive for Mathematical Logic 40 (8):569-580.
Erdös-Rado without Choice.Thomas Forster - 2007 - Journal of Symbolic Logic 72 (3):897 - 900.
On generic extensions without the axiom of choice.G. P. Monro - 1983 - Journal of Symbolic Logic 48 (1):39-52.
Extending Independent Sets to Bases and the Axiom of Choice.Kyriakos Keremedis - 1998 - Mathematical Logic Quarterly 44 (1):92-98.
Rigit Unary Functions and the Axiom of Choice.Wolfgang Degen - 2001 - Mathematical Logic Quarterly 47 (2):197-204.

Analytics

Added to PP
2020-06-18

Downloads
36 (#421,132)

6 months
11 (#196,102)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Valérie Lynn Therrien
McGill University

Citations of this work

No citations found.

Add more citations

References found in this work

About the axiom of choice.Thomas J. Jech - 1977 - In Jon Barwise & H. Jerome Keisler (eds.), Handbook of Mathematical Logic. North-Holland Pub. Co.. pp. 90--345.
Neuer Beweis für die Möglichkeit einer Wohlordnung.Ernst Zermelo - 1907 - Mathematische Annalen 65 (1):107-128.

Add more references